Finding the Third Proportional to 101,452 and 152,178

Step by Step Solution

1. Step 1: Write the proportion equation
   101,452 : 152,178 = 152,178 : x
2. Step 2: Convert to fraction form
   101,452/152,178 = 152,178/x
3. Step 3: Cross multiply
   101,452x = 152,178 × 152,178
4. Step 4: Simplify right side
   101,452x = 23,158,143,684
5. Step 5: Solve for x
   x = 23,158,143,684/101,452
6. Step 6: Final answer
   x = 228,267